85598 ÷ 8 = 10699 R6
Alright, let's work through the division of 85598 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 2:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 3:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 48 from 55 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 8

Step 4:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 1069
Subtract 72 from 79 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 5:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 10699
Subtract 72 from 78 to get 6.

The final result is 10699 with a remainder of 6.